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Luda [366]
2 years ago
8

Consider the diagram.

Mathematics
1 answer:
LenaWriter [7]2 years ago
7 0

Answer:

2 units is perpendicular bisector of line segment

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(4.3*10^4)^2 in scientific notation
xeze [42]
1.849x10^9 or 1.849e9
3 0
3 years ago
The USDA conducted tests for salmonella in produce grown in California. In an independent sample of 252 cultures obtained from w
Marat540 [252]

Answer:

 The decision rule is  

Fail to reject the null hypothesis

  The conclusion is  

There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife

Step-by-step explanation:

From the question we are told that

   The first  sample size is n_1   =  252

    The number that tested positive is  k_1  =  18

     The second sample size is  n_2   =  476

     The number that  tested positive is  k_2 =  20

     The level of significance is  \alpha  = 0.01

Generally the first sample proportion is mathematically represented as

      \^ p _1 =  \frac{k_1 }{ n_1 }

=>    \^ p _1 =  \frac{18 }{ 252 }

=>    \^ p _1 = 0.071

Generally the second sample proportion is mathematically represented as

      \^ p _2 =  \frac{k_2 }{ n_2 }

=>    \^ p _2 =  \frac{20 }{ 476}

=>    \^ p _2 = 0.042

The  null hypothesis is            H_o  :  p_1 - p_2 = 0

The alternative hypothesis is  H_a :  p_1 - p_2 \ne 0

Generally the test statistics is mathematically represented

       z =  \frac{ \^ p_1 - \^ p_2  -  ( p_ 1 - p_2 )}{ \sqrt{\frac{\^ p_1 (1-\^ p_1)}{ n_1  } + \frac{\^ p_2 (1-\^ p_2)}{ n_2  }  } }

=>    z =  \frac{ 0.071 - 0.042  - 0 }{ \sqrt{\frac{0.071  (1-0.071)}{  252  } + \frac{0.042 (1-\^ 0.042)}{ 476  }  } }

=>    z =  1.56

From the z table  the area under the normal curve to the right corresponding to  1.56   is  

        P(Z >  1.56 ) =0.05938

Generally the p-value is mathematically represented as

         p-value =  2 * P(Z >  1.56 )

=>      p-value = 2 *  0.05938

=>      p-value = 0.1188

From the value obtained we see that   p-value  >  \alpha hence

  The decision rule is  

Fail to reject the null hypothesis

  The conclusion is  

There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife

 

5 0
2 years ago
You buy the following materials for the new extension. Calculate the cost of the bricks and cement and then work out the total c
bogdanovich [222]

<u>Answer:</u>

Cost of sand = £150

Cost of bricks =  £157.5

Cost of cement = £134

Total cost = £441.50

<u>Step-by-step explanation:</u>

We are given that:

2 tonnes of sand  is for £75.00 per tonne,

20 bags of cement  are for £6.70 per bag,

350 bricks at 45p each,

So, 2 tonnes of sand  at £75.00 per tonne = 2 * £75.00 = £150.00

20 bags of cement  at £6.70 per bag = 20 * £6.70 = £134.00

350 bricks at 45p each = 350 * £0.45 = £157.50

Therefore, the total cost of all the materials = £150 + £134 + £157.5 = £441.50

7 0
3 years ago
This graph represents a linear function.
Rudik [331]

Answer:

y=2x-2

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Explain how comparing 645 and 738 is different from comparing 645 and 649
slavikrds [6]
I think it is because they are both different differences
7 0
3 years ago
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